An assistant is in charge of ordering lunch for the monthly office meeting. For the first month, she orders five Falafel wraps, fifteen Turkey BLT sandwiches, and twenty hot Ham and Swiss paninis for a total of $260. The next month, she orders eight Falafel wraps, eighteen Turkey BLT sandwiches, and 14 hot Ham and Swiss paninis for a total of $263. For the third month, she orders twelve Falafel wraps, 16 Turkey BLT sandwiches, and twelve hot Ham and Swiss paninis for a total of $258. How much does each sandwich cost?

Answers

Answer 1

The cost of Falafel wraps is $5.5, the cost of Turkey BLT sandwiches is $7.5, and the cost of hot Ham and Swiss paninis is $6.

How much does each sandwich cost?

In order to determine the cost of each sandwich, we would assign variables to the cost of sandwiches ordered, and then translate the word problem into algebraic expression as follows:

Let the variable f represent the cost of Falafel wraps.Let the variable t represent the cost of Turkey BLT sandwiches. Let the variable h represent the cost of hot Ham and Swiss paninis.

Therefore, translating the word problem into an algebraic expression, we have the following;

For the first month ⇒   5f + 15t + 20h = 260      ......equation 1.

The next month     ⇒   8f + 18t + 14h = 263         ......equation 2.

For the third month ⇒ 12f + 16t + 12h = 258       ......equation 3.

Next, we would solve the system of algebraic expressions simultaneously.

Multiplying equation 1 by 12/5 and subtracting it from equation 3, we have:

6.25t - 24h = -366    ......equation 4.

Multiplying equation 2 by 5/8 and subtracting it from equation 1, we have:

3.75t + 11.25h = 95.625    ......equation 5.

Solving equation 4 and equation 5, we have:

Falafel wraps, f = $5.5

Turkey BLT sandwiches, t = $7.5

Hot Ham and Swiss paninis, h = $6.

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Related Questions

The Problem
The school band is making a large banner for its annual fall concert. After the
band members worked for one hour, the band director entered the room and
asked how many feet long the completed banner would be. The trombone
section leader replied, "We're not sure. The trombone section and the
clarinet section work at different rates, but we are sure that the length of the
banner will be 40 feet and 1/2 the total banner's length."
How long will the banner be?

Answers

Answer:20

Step-by-step explanation:

HOW TO DETERMINE THE ANSWER?

Answers

Answer:

The degree of the polynomial is 4.  That is the highest exponent.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

to find degree you look at what the highest exponent when simplified is and that is your answer and inThis case it’s 4

Hopes this helps please mark brainliest

A football player makes an annual salary of 2,100,000.
A charitable organization states that for $120 it can send 1 child to school in a developing country for 1 year. The football player decides to donate 10% of his annual salary to this organization.

Calculating it would be 210,000
About how many children could his donation send to school for 1 year?

Answers

For a year, 1750 students were able to donate to the school.

What is meant by percentage?

A % in mathematics is a quantity or ratio that is stated as a fraction of 100 (from the Latin per centum, "by a hundred"). Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent sign, "%," is frequently used to indicate it  by % lacks dimensions and has no associated unit of measurement.

The Latin word per centum, which means "hundred" or "by the hundred," is where the word "percent" originates. The % calculator computes a variety of percentage-based numbers, such as the percentage difference between two provided values.

Given,

The annual salary of a football player is 210000

1 student ----------$120

x  ------------$210000$

x=(210000/120)

x=1750 students

1750 students could send their donation to the school for 1 year.

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Consider a home mortgage of ​$125,000 at a fixed APR of 4.5​% for 15 years. a. Calculate the monthly payment. b. Determine the total amount paid over the term of the loan. c. Of the total amount​ paid, what percentage is paid toward the principal and what percentage is paid for interest.

Answers

Monthly payment would be $956.24
Loan APR is 4.892%

what is the value of 36x - 8y² when x = 3 and y = -6


can you add the explanation?

Answers

Answer:

-180

Step-by-step explanation:

You would plug in x=3 and y=-6 into the equation

So, the first part would be 36x when x=3, 36(3)=108

The second part would ne -8y^2 when y=-6 (-6 squared is 36), -8(36)=-288

Putting these together, you get 108-288 which is -180

Answer: -180

hops this helps

have a good day

Step-by-step explanation:

GENETICS AND HEREDITY
CHECKPOINT
Using a standard 52-card
deck, what is the probability
of being dealt an ace and then another ace?

Answers

The probability of being dealt an ace=4/52

The probability of being dealt another ace = 3/51

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

The likelihood that a population parameter will be less than a given value when the null hypothesis is true is expressed as the p-value, also known as a probability value or a measure of significance, for a particular statistical model.

The probability of drawing one of the four aces from a typical 52-card deck is 4/52; but, the probability of drawing a second ace is merely 3/51 since, after the first ace was drawn, there were only three more aces remaining in the remaining 51 cards.

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Consider the following system of two linear equations:
4y + 3x = 0
4y - x = 16
What is the point of intersection?

Answers

Answer: The two lines intersect at (-4,3)

Step-by-step explanation:

So our first step would be to turn both of these into standard slope-intercept form.

1.)

4y + 3x = 0

4y = -3x

y = -3/4x

2.)

4y - x = 16

4y = x + 16

y = 1/4x + 4

Now that we have our 2 equations, y = -3/4x and y = 1/4x + 4 we can graph them to get an intersection at (-4,3)

The revenue for a business, as a function of units produced, x, is shown below by R(x). C(x) represents the cost of producing x units. Calculate the profit function and then determine how many units must be produced for the business to break even.

R(x) = 12x
C(x) = x + 264

Answers

The profit function for the revenue R(x) = 12x and the cost, C(x) = x + 264 is  11x-264 and units must be produced for the business to break even is 24 units.

What is revenue profit?

Profit refers to net income after deducting expenses from earnings, whereas revenue refers to income generated through business operations. Sales, fee-based income, and property-based income are just a few of the different ways that money can come in.

Here,

R(x)=12x

C(x)=x+264

It represents the difference between total revenues and total outlays.

Revenue minus costs equals profit.

Profit = Revenue - Cost

P(x)=R(x)-C(x)

P(x)=12x-x-264

P(x)=11x-264

For  the company to break even,

R(x) = C(x)

12x=x+264

11x=264

x=24

The break-even point for the business is 24 units, and the profit function for the revenue R(x) = 12x and the cost C(x) = x + 264 is 11x-264.

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a park has used 4,500 on this month which is 45.50% of its allotted monthly budget how much is the monthly budget​

Answers

Answer:  9,890.11

=========================================================

Work Shown:

x = monthly budget

45.50% of x = 0.4550x = 4500

0.4550x = 4500

x = 4500/0.4550

x = 9,890.1098901099 approximately

x = 9,890.11

A rare coin increases in value according to the function f(x)=100(1.07)x
f(x)=100(1.07)x where x represents the amount of years that the coin is owned and value is measured in US dollars. What is the value of the coin after 5 years?

Answers

The value of the coin after five years is 535 when the value increases with the function f(x) = 100(1.07)x

The value of a rare coin rises in accordance with the function f(x)

f(x) = 100(1.07)x

where x represents the number of years that the coin is owned and value is measured in US dollars

Now, Simplifying the given function, we have :

f(x) = 100(1.07)x

f(x) = 107x

Now, we need to find the value of the coin after five years, then

Putting x = 5 in the function,

f(x) = 107 * 5 = 535

Hence, the value of the coin after five years is 535 when the value increases with the function f(x) = 100(1.07)x

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Find the area of the shaded region in the figure below, if the radius of the outer circle is 12 and the radius of the inner circle is 2. Keep your answer in terms of π.

Answers

144π-4π=140π

This answer is found by subtracting the small region from the big region
Explanation:

To find the shaded region of the circle, you must subtract the inner, unshaded part. to do that, both of the circles' areas have to be found.

Please help! What is the equation of the line?

y=-3x


y=3x


y=3x+1


y=4x

Answers

Answer: y=3x

Step-by-step explanation:

The equation can be found by finding the slope of the given line. Visually, this can be found by counting the distance between two points. From (1,3) and (2,6), the line "rises" 3 units and "runs" 1 unit to the right. Since slope is calculated as rise over run, this gives us 3/1, or just 3 for slope. In slope-intercept form, this becomes y=3x.

Just to note, we know it is not negative because of the direction of the slope. Visually, if the slope "moves" in the direction of upwards and to the left, it will be positive. This can be calculated more accurately using the slope formula (y2-y1/x2-x1)

The third term of the sequence is 165. Find the first term
Term to term rule is subtract 2 and then multiply by 3

Answers

The value of the first term in the sequence is 21.

How to calculate the first term?

Let the second term teen be x.

Since the term to term rule is subtract 2 and then multiply by 3. This will be:

(x - 2) × 3 = 165

3(x - 2) = 165

3x - 6 = 165

Collect like terms

3x = 165 + 6

3x = 171

Divide

x = 171 / 3.

x = 57

Second term = 57

We will do same thing again to get first term. Let first term be a.

(a - 2) × 3 = 57

3a - 6 = 57

Collect like terms

3a = 57 + 6

3a = 63

Divide

a = 63/3

a = 21

The first term is 21.

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A number, n, is added to 15 less than 3 times itself. The result is 101. Which equation can be used to find the value
of n?
O 3n-15+n= 101
O 3n+15+ n = 101
O 3n-15-n=101
O 3n+15-n=101
Mark this and return
Save and Exit
Next
Submit

Answers

The correct expression will be;

⇒ 3n - 15 - n = 101

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is;

''A number, n, is added to 15 less than 3 times itself. The result is 101.''

Now,

Since, The algebraic expression is;

''A number, n, is added to 15 less than 3 times itself. The result is 101.''

So, We can formulate;

⇒ 3n - (15 + n) = 101

⇒ 3n - 15 - n = 101

Thus, The correct expression will be;

⇒ 3n - 15 - n = 101

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Divide:
3⁄5 ÷ 1⁄5 =
. .

Answers

Answer: 3/1

Step-by-step explanation:3   ÷  1   =1÷3 =3

5       5   = 5÷5=1

therefore, 3 by five divided by 1 by five is equal to 3 by 1 ,

Determine whether the relation represents y as a function of x.

y = x^2

Answers

The relation y = x² represents y as a function of x because every x-value returns a unique y-value.

Is the relation a function?

Using the definition of a function, y=x² is a function because you will only get one unique y-value for each x-value in your domain.

The vertical line test is a quick check you can perform. The function y=x² is a parabola, and if you draw vertical lines anywhere on it, they will only cross the parabola once.

As a result, it is a function. A circle is not an example of a function because a vertical line drawn on a circle crosses at two different points.

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A falcon flies 800,000 meters in 4 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represents time, to answer the following questions. Show your work.


Part A: Rearrange the distance formula, d = rt, to solve for rate.


Part B: Find the falcon's rate in meters per hour.


Part C: Find the falcon's rate in kilometers per hour.


Part D: Which unit, meters, or kilometers, makes more sense to use in this scenario, and why?

PLEASE HELP FAST I RLLY NEED THIS

Answers

The information about the Falcon fly is represented below

Part A: 800 000 = 4r

part B: 200 000 meters per hour

Part C: 200 kilometer per hour

Part D: Kilometers makes more sense because it makes the number easier to write and remember

How to find the falcon's rate in meters per hour

The rate as used refers to speed which is distance / time

using the representation 800 000 = 4r

rate, r = 800 000 / 4

r = 200 000 meters per hour

converting meter to kilometer is achieved by dividing by 1000

r = 200 000 meters per hour / 1000

r = 200 kilometers per hour

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The students at Britney's school voted for a new school color. 20% of the students voted for green. If there are 585 students in Britney's school, how many students voted for green?

Answers

117 students
Turn 20% into a decimal (0.2) and multiply it by 585. You multiply because you’re trying to find 20% “of” 585, and when you see “of”, you usually multiply

Answer:

117

Step-by-step explanation:

20% = 1/5

585 x 1/5 = 117!

a) What are the coordinates of A?
b) What are the coordinates of B?

Answers

Answer:

Coordinates of A are (-2.5, -1.5)

Coordinates of B are (4.5, -3.5)

Can anybody help me with this question?

Answers

Answer:

x=3

Step-by-step explanation:

any horizontal line is equal to x

the y is equal to 0

a horizontal line is undefined

X=3; all horizontal lines are x and the y=0 ALWAYS



In a garden club, 90% is ladies. The number of ladies is 12 more than 3 times the number of gentlemen.
How many ladies and how many gentlemen are in the club?
(Note: set up a rational equation and solve)

Answers

The numbers of ladies and gentlemen in the club are 2 and 18 respectively.

What is the percentage?

The percentage is a ratio that can be expressed as a fraction of 100

Given that, there are 90% of ladies in the club, and the number of ladies is 12 more than 3 times the number of gentlemen.

Let the number of gentlemen is x and the number of ladies be y.

Since the number of ladies is 12 more than 3 times the number of gentlemen, it follows:

Calculation

y  = 12 + 3x     (1)

Now, the total number of members in the club is:

x + y

Since there are 90% ladies in the club, it follows:

90%(x + y) = y

90(x + y)/100 = y

90x + 90y = 100y

90x = 100y - 90y

90x = 10y

9x = y             (2)

Now, substitute y = 9x into equation (1):

9x = 12 + 3x

9x -3x = 12

6x = 12

x = 2

Substitute x = 2 into equation (2):

9(2) = y

18 = y

Hence, the numbers of ladies and gentlemen in the club are 2 and 18 respectively.

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Which set of side lengths will NOT create a triangle? Responses 3, 4, 5 3,, , 4,, , 5, EndFragment, 10, 13, 14 10, 13, 14, EndFragment, 10, 20, 30 10, 20, 30, 16, 20, 30

Answers

The set of side lengths that would not create a triangle is; 10, 20, 30.

Which set of side lengths will not create a triangle?

It follows from the task content that the set of side lengths which will not create a triangle are to be determined from the given task content.

Since the triangle inequality theorem states that; the sum of two side lengths of a triangle is always greater than the third side length and also, the difference of two side lengths of a triangle is less than the third side length.

On this note, for a triangle with side-lengths a, b and c; the inequalities which hold are;

a + b > c and a - b < c.

Therefore, the set of side-lengths which will not create a triangle is; 10, 20, 30.

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Which question can be represented by the equation ? × 1/8 = 3

A) how many 3s are in 1/8?

B) what is 3 groups of 1/8?

C) how many 1/8s are in 3?

D) what is 1/8 of 3?

Answers

The question that can be represented by the equation ? × 1/8 = 3 is C. how many 1/8s are in 3?

What is an equation?

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, the question is how many 1/8s are in 3. This will be:

= 3 ÷ 1/8

= 3 × 8

= 24

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I need help with this please and thank you

Answers

Answer:

length 12width 7

Step-by-step explanation:

Adding 5 m to the width of a rectangle makes it a square with area 144 m². You want the length and width of the original rectangle.

Area

The formula for the area of a square is ...

  A = s²

The side length of the square formed from the rectangle is ...

  144 = s²

  √144 = s = 12 . . . . . meters

Rectangle

The length of the rectangle is unchanged when it is made into the square, so the length is 12 m.

The width of the rectangle had 5 m added to make it 12 m, so the width of the rectangle is 7 m.

__

Additional comment

The given relation between length and width is given as L = 2W -2. It is true that 12 = 2(7) -2, but that is not needed in order to solve this problem. It does serve as a check on our answer.

Ming was planning a trip to Western Samoa Before going, She did some research and learned that the exchange rate is 6 Tala for $2. How many tala would get if she exchanged $6

Answers

If she did some research and learned that the exchange rate is 6 Tala for $2. The number of tala she get if she exchanged $6 is 18 tala.

How to find the number of tala?

Given data:

Exchange rate = 6 Tala for $2

Let x represent the tala Ming will get if she exchange $6

$2/6 = $6/X

Cross multiply

2x = 6× $6

2x = 36

Divide both side by 2x

x = 36/2

x = 18 tala

Therefore she would get 18 tala.

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3. A pool has 25 inches of water in it when it begins to rain. The rain falls at 4 inches per hour
Write an equation for the height of the water h as a function of the hours rained, t
A) h = 4t - 25
B) h = 25t + 4
C) h = 4t + 25
D) h = 25t + 4

Answers

Answer:

The Answer is C.

Step-by-step explanation:

It's important to know how the standard form of an equation works.

Remember that y = mx + b, where y is the output value, m is the slope of the equation, and b is the y-intercept (the initial value) of the equation. We know that the pool starts with 25 inches of water in it, so the initial value, or y-intercept is 25, because the pool starts with 25 inches of water after 0 hours. We know that the pool fills up 4 inches per hour, meaning as each hour progresses, the equation will increase by 4. This is the slope. y has been replaced with h in this equation. So, your answer would be h = 4t + 25.

Question 2(Multiple Choice Worth 1 points)
(03.01 MC)
Simplity √10•√8•
O√18
04√5
O√80
08√10

Answers

The simplified form of the expression  √10•√8 is 4√5.

Expression:

Expression refers the mathematical statements that have two terms at least that contain variables, numbers, or both.

Given,

Here we have the expression √10•√8.

Now we have to find the simplified form of these expression.

Now, we have to multiply the values inside the square root then we get,

=> √10 x √8 = √(10  x 8)

After the multiplication we can get,

=> √80

Now, we have to expand this as the following,

=> √16 x 5

We know that √16 is equivalent for 4²,

So, it can be written as,

=> √4² x 5

Now, we have to simplify this as,

=> 4√5

Therefore, the simplified expression is 4√5

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Use the digits -9 to 9 (each only once) to create a real solution between 30 and 80
(a+bi)(c+di)

Answers

According to the imaginary number, the real solution between 30 and 80 is 60

Imaginary number

An imaginary number refers a real number multiplied by the imaginary unit i, which is defined by its property i² = −1.

Given,

Here we have to use the digits -9 to 9 (each only once) to create a real solution between 30 and 80 (a+bi)(c+di).

We know that the digits from -9 to 9 are listed as follows:

(-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9)

Now, we have to choose the digits -9 to 9, as the value of a, b, c and d,

For that we have to choose the value of a = 3, b = -9, c = 2 and d = 6,

Now, we have to apply these value on the given imaginary equation, then we get,

(a + bi) (c + di) = (3 + -9i) (2 + 6i)

When we simplify this one then we get,

=> 6 + 18i + (-18i) – 54i²

We know that value of i² =  -1, then the equation is written as,

=> 6 - 54(-1)

=> 6 + 54

=> 60

Therefore, 60 is a real solution between 30 and 80.

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Nicholas started a canned-food drive at school. The equation representing this is y = 235x + 15, where x is the number of days, and y is the number of cans collected. Explain how to determine how many days it would take to collect 2600 cans.

Answers

The number of days it would take to collect 2600 cans is; 11 days

How to change the subject of the formula?

We are given the equation that represents the number of cans that Nicholas collected as; y = 235x + 15

where;

x represents the number of days.

y represents the number of cans collected.

Now, we want to make x the subject of the formula;

y = 235x + 15

Subtract 15 from both sides to get;

y - 15 = 235x

divide through by 235 to get;

(y - 15)/235 = x

When y = 2600;

x = (2600 - 15)/235

x = 11 days

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Write a number to represent the coldest temperature.

Answers

Answer: -15 degrees

Step-by-step explanation:

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If policymakers use a pollution tax to control pollution, the tax per unit of pollution should be set?. Read the excerpt from "On Womens Right to Vote by Susan B. Anthony.It was we, the people; not we, the white male citizens; nor yet we, the male citizens; but we, the whole people, who formed the Union. And we formed it, not to give the blessings of liberty, but to secure them; not to the half of ourselves and the half of our posterity, but to the whole peoplewomen as well as men. And it is a downright mockery to talk to women of their enjoyment of the blessings of liberty while they are denied the use of the only means of securing them provided by this democratic-republican governmentthe ballot.What evidence does the speaker use to support her claim that women deserve the right to vote?The country was formed by both women and men.Women have the blessing of liberty.Only White men are allowed to vote.The denial of voting rights is a mockery.HELP PLEASE HELP political parties in the united states multiple choice are strong and unified nationally. are very state-oriented and act mostly independently. are weak but unified nationally. only work to get state-level positions filled. 358.584 divided by 9.92 the nurse is caring for a client who has a pressure injury on the back. what nursing intervention would the nurse perform? which of the following statements about national defense under the articles of confederation is most accurate? The ladder shown is 3.0 m long and the coefficient of static friction between the floor and ladder is 0.50. There is no friction between the wall and the ladder. What is the minimum angle (in degrees) that the ladder can make with the floor without slipping?This is a static equilibrium problem. The sum of the torques equals zero, the sum of the forces along x equals zero, and the sum of the forces along y equals zero. Use the point where the ladder contacts the ground as the axis of rotation. At the minimum angle, you're getting the maximum possible value of static hello can someone help me pls Write a compare-and-contrast analysis to compare the way two different texts present similar ideas? If a car collides with a moving bus, what type of relationship exists between the force of the car and the force of the bus?. PLEASE HELPWhere is the only national park in North Carolina located?O in the PiedmontO in the mountainsO along the shorelineOon the coastal plains f(x)=5/x-1g(x)=4-2xCalculate fg(x) NEED HELP PLEASEEEEEEEE At two-years-old, eleanor is beginning to desire more independence. She does not like her parents to feed her. Her parents are willing to let her feed herself, even though there is often a big mess. Based on this description, eleanor is probably going to leave this stage of development with a sense of:. Question 20 of 20 which public health policies help prevent communicable diseases? what national park, located in the inland south, is the nation's most frequently visited? What is the slope of a line perpendicular to the line whose equation is 2x+3y=24 Fully simplify your answer. Select the set of reactants that will form a precipitate upon mixing.Li2S(aq) + NiCl2(aq)Na3PO4(aq) + H2SO4(aq)NaClO4(aq) + Fe(NO3)2(aq)NaCl(aq) + KBr(aq)BaCl2(aq) + LiOH(aq) Please help!!Will give 5 points asap Consider a causal continuous time LTI system whose input x(t) and output y(t) are related by the following differential equation d/dt y(t) + 4y(t) = x(t) Find the Fourier series representation of the output y(t) for each of the following inputs: A. x(t) = cos(3 pi T) B. x(t) = sin(3 pi t) + cos(6 pi t+pi/4)